Final answer:
The point J(5, -6) translated 8 units right and 5 units up results in the new coordinates J(13, -1).
Step-by-step explanation:
The student is asking about the result of a translation in a coordinate system. The point J(5, -6) is being translated 8 units to the right (positive x-direction) and 5 units up (positive y-direction). To find the new coordinates, add 8 to the x-coordinate and 5 to the y-coordinate of the original point. The original x-coordinate is 5, and after adding 8 units, the new x-coordinate will be 5 + 8 = 13. The original y-coordinate is -6, and after moving 5 units up, the new y-coordinate will be -6 + 5 = -1. Therefore, the resulting point after the translation has the coordinates J(13, -1).